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Finding the Third Proportional to 153,744 and 233,760

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Solution

The third proportional to 153,744 and 233,760 is: 355,420.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,744 : 233,760 = 233,760 : x
  2. Step 2: Convert to fraction form
    153,744/233,760 = 233,760/x
  3. Step 3: Cross multiply
    153,744x = 233,760 × 233,760
  4. Step 4: Simplify right side
    153,744x = 54,643,737,600
  5. Step 5: Solve for x
    x = 54,643,737,600/153,744
  6. Step 6: Final answer
    x = 355,420.29

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.